41813990400 has 1056 divisors, whose sum is σ = 176485593088. Its totient is φ = 8493465600.

The previous prime is 41813990377. The next prime is 41813990401. The reversal of 41813990400 is 409931814.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41813990401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216652704 + ... + 216652896.

Almost surely, 2^41813990400 is an apocalyptic number.

41813990400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41813990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88242796544).

41813990400 is an abundant number, since it is smaller than the sum of its proper divisors (134671602688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41813990400 is a wasteful number, since it uses less digits than its factorization.

41813990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 41813990400 in words is "forty-one billion, eight hundred thirteen million, nine hundred ninety thousand, four hundred".